POTW #5 - Jan. 28, 2024

Contributed by: asf1re

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Difficulty: 10

This problem is tagged with potw, potw2024.

MCR Problem of the Week, Jan. 28, 2024 Edition

The radius of circle $B$ is three times the radius of circle $A$. Starting from the position shown in the figure, circle $A$ rolls around circle $B$. When circle $A$ returns to its starting point, how many rotations will it have completed with respect to center of $B$?

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